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Finding the Fourth Proportional to 188,190.54, 259,693.41 and 111,712.90

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Solution

The fourth proportional to 188,190.54, 259,693.41 and 111,712.90 is: 154,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,190.54 : 259,693.41 = 111,712.90 : x
  2. Step 2: Convert to fraction form
    188,190.54/259,693.41 = 111,712.90/x
  3. Step 3: Cross multiply
    188,190.54x = 259,693.41 × 111,712.90
  4. Step 4: Simplify right side
    188,190.54x = 29,011,103,941.99
  5. Step 5: Solve for x
    x = 29,011,103,941.99/188,190.54
  6. Step 6: Final answer
    x = 154,158.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.